2011.10: Commuting Involution Graphs for 3-Dimensional Unitary Groups
2011.10: Alistaire Everett (2011) Commuting Involution Graphs for 3-Dimensional Unitary Groups.
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For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3-dimensional projective special unitary group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.
|Item Type:||MIMS Preprint|
|Uncontrolled Keywords:||Unitary Groups; Involutions; Commuting Involution Graphs|
|Subjects:||MSC 2000 > 20 Group theory and generalizations|
|Deposited By:||Mr Alistaire Everett|
|Deposited On:||18 January 2011|